If Y varies inversely as X and X is 10 when Y is 3 find X when Y is 8. Show work PLZ!!!?

Question

If yall could do me a favor and show work PLZ!!! I had an Algebra exam yesterday and I wrote this Question on my Graphing Calculator. I just wanted to know if i got it right. The answers are (A) 80/3 (B) 12/5 (C) 15/4 (D) none of these. I chose (B)12/5 but i've had family and friends tell me all the answers above so i decide to ask the internet. Again PLZ SHOW WORK!!!!! i really want to understand the problem

Answer 1

15

Answer 2

Inverse variation means XY = C, where C is some constant.  From the given conditions, C must be 30, so if Y is 8, then X must be 30/8 = 15/4.